Jovetic has only made one league start, and has not played at all since October.
That has led to speculation that the player may be homesick, or have a psychological barrier preventing him from returning until he is 100 per cent. But Pellegrini has dismissed that idea.
"I always believe that a player cannot do it unless he feels he can do it," he told the Manchester Evening News.
"I will support the players. I believe in the players and I believe in Jovetic.
"He has had a very bad luck for the first half of the year and I hope the second half will be very good for him. He is trying to do everything."
Asked what the problem was, the manager replied: "It is difficult to know. I hope this will be the last one and he can start playing. He is an important player."
And asked if it was a mental issue, he replied: "I can't say that, no."