Defensive midfielder Barr is one of eight players out of contract in the summer and would be able to start talking with other clubs in January.
However, he has no plans to leave and does not expect a mass exodus from Tynecastle as the players are keen to repay the supporters for the faith shown in them.
"I haven't heard anyone talking about it," the 27-year-old said in the Sunday Mail.
"They've just been talking about the fans galvanising the club and picking us up.
"I honestly don't get the feeling that anyone wants to escape. It's about the football."