This comes as interest from other clubs, such as Bayer Leverkusen and Roma, has dwindled.
Cesc Fabregas is now being considered for a coaching position at Inter Milan, after Inter's coach Simone Inzaghi's job is in doubt.
Inter's directors will meet to discuss Inzaghi's future after the team's recent Champions League final defeat to PSG.
If Inzaghi leaves, Cesc will be considered as a replacement, and De Rossi may step in if Como loses Fabregas.
De Rossi has two years left on his contract at Roma, but feels ready to return to management.