Keane experienced been 1 of the favourites to just take over from Neil Lennon at Celtic but he withdrew himself from rivalry on Monday.
And it now appears he is on his way to Villa Park to support Lambert, a role that would also make it possible for him to carry on doing work alongside Martin O'Neill with Ireland.
Villa are looking for an assistant right after Ian Culverhouse was sacked past month, together with head of soccer functions Gary Karsa.
No official news on Keane's long run is anticipated until finally he returns from the United States exactly where the Republic are having on Globe Cup qualifiers Costa Rica and Portugal - the final of these online games on June ten.
Keane has not managed in England because January 2011 when he was fired by Championship club Ipswich he resigned from his prior role with Sunderland at the stop of 2008.
The 42 - calendar year - old returned to the coaching ranks previous November when he was unveiled as element of O'Neill's backroom staff members soon after the previous Villa boss changed Giovanni Trapattoni.