McGrath and Lehmann were the only Tykes to pass 1,000 runs in 2006

The 31-year-old has two years left on his contract but has recently voiced a number of grievances to club officials.

The two sides discussed the situation at Headingley on Tuesday, talks which chief executive Stewart Regan described as "constructive and helpful".

A further meeting will take place within a week when a decision on McGrath's future is expected.

Bradford-born McGrath is Yorkshire's third longest serving player after Craig White and Michael Vaughan.

He made his debut in 1995 and captained the side in 2003, the year in which he also played four Tests against Zimbabwe and South Africa.

McGrath and Darren Lehmann, who has left the club, scored almost half of Yorkshire's runs in the Championship this summer, with McGrath contributing four centuries and nine fifties.

Despite that, the team only made certain of avoiding relegation with a draw in their final match.

It is believed several senior players are unhappy that former wicket-keeper Richard Blakey, who had taken on a coaching role last season, has been axed.

"I think this is part of the problem, along with one or two other things," Regan said last week.

"But we are going through a period of change at the moment and I am confident the situation will resolve itself."

The club also need to name a captain for next season, with Pakistan batsman Younis Khan, currently leading his side in the ICC Champions Trophy, recently linked with the job.