"He is happy, but he has intimated to me and the chairman he wants a new deal and it is something we are looking at.
"We've had a number of positives to come out of this season and Barker's goals and performances have been two of them."
Baker was a shining light in a difficult season for the Stags, and rumours during the season linked Grimsby and Swansea with bids for the frontman.
He also has one year left on his current deal.