Championship newcomers Peterborough United have submitted an improved offer to Grimsby Town for skipper Ryan Bennett, according to Posh director of football Barry Fry.
The Mariners turned down Peterborough's initial bid, which was described as 'derisory'.
However, Fry has told skysports.com that a second bid has been put to the League Two side and they are now waiting for a response.
"I'm out in Portugal at the moment for the chairman's conference and I have spoken to John Fenty (Grimsby's chairman) and we have upped our original bid," he told skysports.com.
"We are now just waiting to get a response to our improved offer.
"We love to bring in young and hungry players whom are eager to learn and want to improve themselves at this club, so Bennett does fit the mould in that sense.
"We are going to try to bring him in, but Grimsby feel they have got an asset in the lad and they don't want him to go cheap, which is fair.
"We have now put in a big bid, which isn't cheap by any means and hopefully we will get our man, but if we don't then we will just move on to other targets."
Meanwhile, Fry believes his side can raise a few eyebrows next season and gain promotion to the Premier League in the process.
The Posh have gone from League Two to the Championship in successive seasons, but Fry told believes that they could still cause a few more surprises next term.
"We don't want to go up as also-rans and we want to compete next season, so we aren't going into it to make the numbers up.
"We will be hoping to push on again and gain our third successive promotion to seal the dream of getting into the Premier League.
"There are some big teams in this division next season, but we could cause a few upsets along the way and surprise them all."
Posh keeper Joe Lewis gave Fry a scare on Monday night when he came off the bench in an unfamiliar forward role for England U21s but the former Birmingham City boss insists that he won't be continuing in that position for his club next season.
"It was a bit of a shock to the system when Joe came on up front and I nearly suffered my third heart-attack, which would have been fatal.
"I saw £5 million worth of talent come off the bench and if he had scored a goal or two then we might have been talking £10million for him, but he didn't.
"Stuart Pearce told me that he had a bit of crisis on his hands and Joe being Joe volunteered to help him out, which is a great attitude.
"He definitely won't be a striker for us and he has got a lot of competition in front of him in that area of the field. He wouldn't get in our side as a striker."