Sol Campbell has refused to rule out a move to Celtic, while Hull have paved the way for Jimmy Bullard to join the Hoops on loan next season.
Campbell, 35, is keen to remain at Arsenal and has impressed after his return to his old club on a short-term deal during January.
A new contract is on offer for the veteran, but has not yet been formally agreed.
A switch to Parkhead could appeal should things not work out with the Gunners, with reports today claiming Celtic are set to make a surprise summer swoop.
"I worked very hard to get back to my best and to play in the Champions League again, and I would love the opportunity to continue at Arsenal," Campbell said on www.espnsoccernet.com.
"Although a one-year contract has been offered, these things take some time to thrash out.
"I am in no rush, I would like to stay with Arsenal if I could.
"However, Celtic are a massive club, a great club, with massive support."
Meanwhile, Hull would consider letting record signing Bullard join Celtic on loan if the Clydesdale Bank Premier League side made an approach.
Bullard is thought to be one of a number of high-earning players the Tigers are keen to offload following their relegation from the Barclays Premier League.
Hull claim Celtic are interested in the former Fulham and Wigan midfielder but the 31-year-old's injury record may deter clubs from seeking a permanent move.
Head of football operations Adam Pearson told the Daily Express: "We are aware that Celtic have an interest in Jimmy Bullard.
"They haven't made a direct approach to me but I know officials from Celtic have spoken to a number of people on our coaching staff about Jimmy Bullard.
"Everyone is aware of our financial predicament and we would have to consider all offers.
"If Celtic were to make an offer for Jimmy Bullard, whether it be a permanent transfer or a loan deal, then it is something we have to give serious consideration to."
Celtic interim manager Neil Lennon said: "I've been looking for players but whether the club take any notice of that is another thing."
He also admits he is still in the dark over his own Celtic future and has no idea when he can expect to find out if he will be the club's next permanent manager.
The former Hoops skipper enjoyed a successful spell at the helm following the departure of Tony Mowbray in March.
Lennon claimed eight wins from eight in the SPL, before Parkhead chiefs formally launched their search for a new manager.
He said: "In terms of the job, it is still an ongoing process. It's just as we were after the Hearts game.
"The club is going through the technicalities and there are applicants for it.
"I will be around for the next couple of weeks. In early June, I'll go for the residential part of the ProLicense and the club visit. Then I'm going for three weeks' holiday.
"There is no guarantee I will have an answer by then."
Meanwhile, Paddy McCourt has set his sights on holding down a first-team place next term after ending the season on a personal high.
The Irishman opened the scoring in Celtic's 2-0 win over St Pauli in a friendly on Tuesday with an impressive individual effort.
Reflecting on his season, he said: "It's been all right.
"I managed to make my full debut and went on to make a few starts and get a few goals.
"So it's not been bad but it's not been great either, although it's been an improvement on my first season.
"Obviously making my full debut, scoring and picking up a man of the match were all personal highlights.
"It was a season where there weren't too many highlights for the club though, as it was a poor season by Celtic's standards."
Speaking on Celtic`s official website, he added: "I was hoping to establish myself this year. Obviously it hasn't quite happened.
"There have been a few personal highlights, but on the whole I haven't played as I would have liked. So I'm looking forward to a break now and see what happens for next year."
A new contract is on offer for the veteran, but has not yet been formally agreed.
A switch to Parkhead could appeal should things not work out with the Gunners, with reports today claiming Celtic are set to make a surprise summer swoop.
"I worked very hard to get back to my best and to play in the Champions League again, and I would love the opportunity to continue at Arsenal," Campbell said on www.espnsoccernet.com.
"Although a one-year contract has been offered, these things take some time to thrash out.
"I am in no rush, I would like to stay with Arsenal if I could.
"However, Celtic are a massive club, a great club, with massive support."
Meanwhile, Hull would consider letting record signing Bullard join Celtic on loan if the Clydesdale Bank Premier League side made an approach.
Bullard is thought to be one of a number of high-earning players the Tigers are keen to offload following their relegation from the Barclays Premier League.
Hull claim Celtic are interested in the former Fulham and Wigan midfielder but the 31-year-old's injury record may deter clubs from seeking a permanent move.
Head of football operations Adam Pearson told the Daily Express: "We are aware that Celtic have an interest in Jimmy Bullard.
"They haven't made a direct approach to me but I know officials from Celtic have spoken to a number of people on our coaching staff about Jimmy Bullard.
"Everyone is aware of our financial predicament and we would have to consider all offers.
"If Celtic were to make an offer for Jimmy Bullard, whether it be a permanent transfer or a loan deal, then it is something we have to give serious consideration to."
Celtic interim manager Neil Lennon said: "I've been looking for players but whether the club take any notice of that is another thing."
He also admits he is still in the dark over his own Celtic future and has no idea when he can expect to find out if he will be the club's next permanent manager.
The former Hoops skipper enjoyed a successful spell at the helm following the departure of Tony Mowbray in March.
Lennon claimed eight wins from eight in the SPL, before Parkhead chiefs formally launched their search for a new manager.
He said: "In terms of the job, it is still an ongoing process. It's just as we were after the Hearts game.
"The club is going through the technicalities and there are applicants for it.
"I will be around for the next couple of weeks. In early June, I'll go for the residential part of the ProLicense and the club visit. Then I'm going for three weeks' holiday.
"There is no guarantee I will have an answer by then."
Meanwhile, Paddy McCourt has set his sights on holding down a first-team place next term after ending the season on a personal high.
The Irishman opened the scoring in Celtic's 2-0 win over St Pauli in a friendly on Tuesday with an impressive individual effort.
Reflecting on his season, he said: "It's been all right.
"I managed to make my full debut and went on to make a few starts and get a few goals.
"So it's not been bad but it's not been great either, although it's been an improvement on my first season.
"Obviously making my full debut, scoring and picking up a man of the match were all personal highlights.
"It was a season where there weren't too many highlights for the club though, as it was a poor season by Celtic's standards."
Speaking on Celtic`s official website, he added: "I was hoping to establish myself this year. Obviously it hasn't quite happened.
"There have been a few personal highlights, but on the whole I haven't played as I would have liked. So I'm looking forward to a break now and see what happens for next year."
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