"I spoke with Emmanuel on Monday," said Mancini. "He is training and I think he will be ready to be on the bench."
Ivory Coast defender Kolo Toure, 28, could also be included in the squad.
The Elephants were beaten 3-2 in the quarter-finals of the Africa Cup of Nations by Algeria, who are in England's World Cup group.
Mancini added: "We won't see Kolo until Wednesday and I need to see how he has recovered before I decide whether he is also on the bench or whether he plays.
"I am sad for him that the Ivory Coast got knocked out - but I am happy for us."
The second leg of the Carling Cup semi-final takes place at Old Trafford, with City holding a 2-1 lead.
Adebayor's Togo withdrew from the Africa Cup of Nations after three people died in the attack on their team bus in the northern Angolan province of Cabinda, the striker revealing that one of the three who died, did so in his arms.
Following the incident in Cabinda, Adebayor said: "I am sweating every day and I can't eat. I will take my time and come back on the pitch at the right time.
"My boss and my team understand that, that is the most important thing. They know I need time to recover from this.
"It is difficult because my personal press officer died in my hands, that is the worst image I have had in my life. He passed away in my hands. It is very difficult."
The striker has yet to feature for City since Roberto Mancini took over as boss from Mark Hughes in mid-December.
Adebayor stayed in Togo capital Lome for three days of official mourning following the attack in Cabinda.
Togo's assistant coach, press officer and bus driver died in the attack by Front for the Liberation of the Enclave of Cabinda (Flec) rebels.
The team considered playing on in the tournament but the Togo prime minister ordered them to return home because of ongoing fears about security.