He sees former Portugal U21 international Morais as an ideal option, and has taken the 23 year old winger on trial.
"I actually tipped off Owen Coyle about Filipe two years ago when he came to Saints on loan," McInnes said in the Daily Record.
"I'd been impressed with him during my time at Millwall. He did fine here during the loan spell and got a move to Hibs and gained SPL experience.
"I know he has other irons in the fire but I'm hoping he'll want to return to Saints.
"The decision will be down to Filipe but hopefully he fancies a return to St Johnstone."