According to the source, Rovers have told City boss Nigel Pearson that it would take at least £1.5m to prise the 29 year-old away from the club.
Rovers, who are expecting offers for several players in the close season, would be reluctant to see either Wellens or fellow midfielder Brian Stock leave the club.
But chairman John Ryan said recently that every player had his price.
No-one at either club was available for comment this morning on speculation surrounding Wellens' future.
Meanwhile, former Rovers defender Gordon Greer is set to join Swindon Town on a two-year deal on July 1.
The 28-year-old made 19 appearances for the League One while on loan in the second half of last season, captaining the side on several occasions and proving a firm favourite with Town fans.
Despite a string of impressive displays at the County Ground, the former Scotland B international was released by Rovers last week.
Greer joined Rovers in the summer of 2007 but his time at the club was blighted by injuries and he was missed over 12 months' football with a hip problem prior to joining Danny Wilson's side on a loan.
Greer made just 12 starts for Rovers and scored just once -netting Rovers' only goal in a 2-1 defeat to Bournemouth at the Keepmoat Stadium at the start of the 2007-2008 season.
Rovers, who are expecting offers for several players in the close season, would be reluctant to see either Wellens or fellow midfielder Brian Stock leave the club.
But chairman John Ryan said recently that every player had his price.
No-one at either club was available for comment this morning on speculation surrounding Wellens' future.
Meanwhile, former Rovers defender Gordon Greer is set to join Swindon Town on a two-year deal on July 1.
The 28-year-old made 19 appearances for the League One while on loan in the second half of last season, captaining the side on several occasions and proving a firm favourite with Town fans.
Despite a string of impressive displays at the County Ground, the former Scotland B international was released by Rovers last week.
Greer joined Rovers in the summer of 2007 but his time at the club was blighted by injuries and he was missed over 12 months' football with a hip problem prior to joining Danny Wilson's side on a loan.
Greer made just 12 starts for Rovers and scored just once -netting Rovers' only goal in a 2-1 defeat to Bournemouth at the Keepmoat Stadium at the start of the 2007-2008 season.