Frampton, who is the current IBF super bantamweight champion, wants the Norwich City forward to move to Championship outfit Leeds in the January transfer window.
The 28-year-old boxer wants to see the 28-year-old forward link up with his Northern Ireland international teammate Stuart Dallas at Elland Road.
Big @LaffK going to Leeds is a great move for himself and for the Green and White Army ahead of France— Carl Frampton (@RealCFrampton) January 3, 2016
Lafferty has been linked with a move to Leeds this month, having found playing time limited at Norwich so far this season.
The former Rangers and Palermo man has managed to feature in just one Premier League game for Norwich so far this season.
During the 2014-15 campaign, Lafferty, a former Burnley striker, scored one goal and created 16 chances in 18 Championship appearances for the Canaries.