"We want to integrate him as quickly as we can because he is desperate to play for us", Solskjaer said.
"We will just see his fitness work this week and I think we will get him sharp".
Now eighth in the Premier League table, six points adrift the top four and facing a huge game against Chelsea at Stamford Bridge next Monday in the battle for Champions League qualification, United are under growing pressure to finish the season strongly ahead of a pivotal summer.
Ighalo joined Manchester United on loan from Chinese side Shanghai Shenghua on winter transfer deadline day.
Solskjaer was speaking from Spain during United's mid-season break, with Ighalo having been left back in England for "reasons out of the club's control", with the coronavirus thought to be a factor after the striker arrived from China.
Ed Woodward believes Manchester United have little margin for error in the transfer market this summer after admitting the club "are not yet where we want to be". Overall, during every season, every team has injuries and we have been hit badly this year and we have felt the lack of numbers.
United have endured a tough season and are eighth in the Premier League table, but remain alive in the FA Cup and Europa League.
The move for Odion Ighalo then came in for the Red Devils' chiefs in which they had no choice than to sign the ex Udinese striker considering his experience in the Premier League.
"Although progress may not always be smooth, everyone in the club is focused and committed to doing their part to help achieve those goals. As part of the rebuild we see this coming summer as an important opportunity".
"Similarly, there has been extensive work on our recruitment process, with considerable investment in scouting, data and analytics".
"Our approach is to bring a combination of experience and the best young players with the potential to develop further, merging the graduates of our academy with high quality acquisitions".
Manchester United's next game is a crunch fixture away to top-four hopefuls Chelsea next Monday, February 17.