The Arsenal captain has again been linked with a move following the Catalan club’s rejected bids last summer.
Gunners chairman Peter Hill-Wood has revealed that coach Pep Guardiola’s side has made an approach, but Rosell insists that they won’t pay over the odds.
“[Fabregas] is doing everything he can to come [to Barcelona],” he told TV3. “Guardiola knows the values of players and Cesc’s is less than €40m (£35m). Barcelona will offer less and if [Arsenal] don’t accept then he won’t come.
“Pep knows the club is not well-off in terms of money.”
Last week Emirates teammate Bacary Sagna claimed in an interview that Fabregas was hopeful to head to Barca, but the 24-year-old then assured fans that he was happy at his current club.
Meanwhile, Barcelona are closing in on a deal for Udinese winger Alexis Sanchez.