Holt, scored 24 times last campaign and still has 12 months to run on his current deal.
Despite the interest from Yeovil and Swansea, who both won promotion to League One, Dale say they are not looking to cash in on the 24-year-old striker.
Rochdale director Jim Fagan said: "It's always nice when other clubs come in for one of your players, but to be honest the reported 'substantial' bid from Yeovil Town wasn't substantial enough for us.
"As the manager Steve Parkin has said before, we are looking to build a side capable of pushing for promotion next season and we aren't going to dismantle it by selling one of our key players.
To be honest we have turned down bigger offers for Grant Holt in the past and we are looking to extend his contract with us further than the one year he has left.
He, along with other players in the squad, are key to the future and will therefore carry a higher price tag.
"Unless someone comes in with an offer we cannot refuse then he'll be playing for Rochdale next season and hopefully beyond."