The Hammers have seen Andriy Yarmolenko go down with injury whilst Manuel Lanzini isn't expected to be back until early 2019, meaning Pellegrini may well be looking at other creative options.
One player he is very familiar with is Nasri, having worked together for three years at Manchester City, and a reunion could be on the cards.
The Mirror report that West Ham are weighing up a move to sign Nasri on a free transfer, even though he can only begin playing again in February after a drugs ban.
Nasri, 31, was released by Antalyaspor last year, and could join up with West Ham for training until he can play again, at which point he would be available for Premier League action again.
The former France international's reputation has been damaged severely over the last year, and it may take rejoining Pellegrini to get his career back on track when he can play again.
It's fair to say that Nasri would be a punt at this stage, on a free transfer without playing for some time, but with Everton also believed to be keen, Pellegrini's input may just help West Ham win the race according to the report.
Nasri hit 15 goals in 87 games for City under Pellegrini, and he may just bring more creativity to West Ham in 2019 if they do beat off interest from Everton thanks to Pellegrini.