Chelsea are not offering immediate first-team football but they are willing to increase his £25k-a-week salary and can offer the added incentive of possible involvement in Champions League football.
Now approaching his 37th birthday, Martyn is not keen to let his career drift to a conclusion.
With one year remaining on his United contract he is expected to sign a 2-year deal with The Blues.
Leeds will save £1m on wages by allowing the England international to depart.
Besides Robinson, Leeds have a trio of goalkeepers waiting in the wings, Danny Milosevic, Scott Carson and Shaun Allaway.
Earlier this week Milosevic ‘reconsidered’ a proposed loan move to Crewe Alexandra.
Striker Michael Bridges has been put on standby for tonight's friendly at Hull City.
Bridges is likely to replace the unsettled Mark Viduka.