It was reported by the British tabloid that Rotherham “can offer a lucrative package” to Barton in order to entice him to move to the New York Stadium.
However, Millers manager Evans has ruled out making a move for the 32-year-old former Manchester City star, who is a free agent at the moment, having left QPR at the end of the 2014-15 season following their relegation from the Premier League to the Championship.
The 52-year-old, though, has made a humorous remark about signing Barton, asking the midfielder to ring him if he plans to move to play for Rotherham.
“I don't think we could afford Joey's petrol, never mind Joey," Evans told BBC Radio Sheffield. "Our problem would be funding Joey's Ferrari or whatever he's driving to Rotherham from where he lives.
"I think he's an outstanding footballer - when I saw West Ham linked with him I thought he'd be signing. If Joey Barton wants to come play for Rotherham United, give me a ring, Joey."
Other interested clubs
Championship outfit Nottingham Forest and Premier League club West Ham United are claimed to be interested in Barton.
According to The Sun, the midfielder met Forest owner Fawaz Al-Hasawi for lengthy talks last week.
The Mirror recently claimed that the former Newcastle and QPR star is still hopeful that he can join West Ham despite his move to the London outfit collapsing recently.
West Ham co-chairman David Sullivan recently told KUMB that he cancelled the move due to the negative reaction from a couple of players.