Fabregas has long been linked with a return to Barcelona, but Real were recently rumoured to be planning a €65 million raid of their own this summer - though the reports were swiftly denied by the club.
But Adebayor, who flourished playing alongside Fabregas at Arsenal for three years, feels that a move to Real would make sense for the Spain midfielder.
"I had the opportunity to play with Cesc for a few years," Adebayor said. "We all know the assists and goals he creates.
"He is a great player and a great person, and if he came to Madrid, he would be very happy. If he came, he would be a good fit for Real Madrid."
Adebayor has scored two goals in four games since swapping Manchester for Madrid and insists he is confident of securing a permanent deal when his loan spell finishes at the end of the season.
"Everybody likes to play for Real Madrid," the Togo forward said. "At this point, I have to spend six months at the club and then decide. For now, I'll enjoy my time here."