The 27-year-old joined the Nerazzurri last weekend on a season-long loan from Porto and could play a major part as Inter look to go all the way in succeeding Lazio as holder of
Inter's returning internationals took part in a light workout session on Thursday (Wednesday (AEST) ahead of the third-round tie and captain
The 40-year-old, who signed a new one-year deal with Inter this summer, has not played since late April when he ruptured the Achilles tendon in his left foot during a defeat by Palermo and is likely to be out until autumn.
In Sunday's other match, Atalanta takes on Serie B opponents as they host Bari as they begin their cup campaign.
Sampdoria has named a strong team for the tie at home to Benevento tomorrow.
Rossi is looking forward to the game but is aware their opponents could cause an upset if Samp are not careful.
He told the club's official website: "We have worked so well this month and tomorrow night I expect to see improvements.
"This is the classic game where you will have everything to lose. But we keep moving forward.
"In our country, in addition to Serie A, we have the Italian Cup. We must honour this competition."
Serie A newcomers Livorno takes on relegated Siena in what could be one of the standout draws of the third round.
Last season's Serie B champions Sassuolo faces Novara away and runners-up Verona travel to recently relegated Palermo in what could be another feisty encounter.
Other matches tomorrow involving Serie A sides sees Bologna faces Brescia, Cagliari are at home against Frosinone, Genoa travels to Spezia, Chievo takes on Empoli, Parma hosts Lecce and Torino plays at home against Pescara.