Forrester, who joined Rangers from Doncaster Rovers in December of 2015, was on the books of Villa from 2007 to 2011.
The 25-year-old attacking midfielder failed to make a single league appearance for the Villans and was released by them in 2011.
The former England Under-17 international has since gone on to play for Brentford, Doncaster and now Rangers.
Warburton, who worked with Forrester at Brentford, has suggested that the Englishman failed to succeed at Villa because he did not have anyone to put their arm around his shoulder.
“He played at an international level [for England under-17s], Aston Villa bought him and there is no doubt Harry needed an arm around his shoulder to make him feel like he belongs somewhere,” Warburton told The Times about Forrester. “It’s as simple as that; that’s how Harry works.”
Rangers are at the top of the Scottish Championship table at the moment with 69 points from 27 matches. The Gers are 12 points clear of second-placed Falkirk and have a game in hand.
It is now virtually certain that the Glasgow giants will get automatic promotion to the Scottish Premiership at the end of the season.