The 24-year-old joined up with Harry Redknapp’s Blues squad at Wast Hills as they returned to training on Monday.
The talented midfielder, who joined Birmingham on loan from West Ham back in 2012, previously played under Redknapp at QPR.
But the Blues boss, who miraculously kept his side in the Championship with three games to spare last season, is yet to confirm whether he will try and sign Morrison.
“Ravel’s come in and he’s going to be training with us for a few days so we can have a look at him,” Redknapp told bcfc.com, adding: “That’s it really.”
Morrison trained alongside new signings David Stockdale and Marc Roberts on Monday ahead of the club’s trip to Austria at the end of the week.
The 24-year-old, who was famously tipped for greatness by none other than Sir Alex Ferguson, has made just eight appearances for Lazio since 2015.
He spent the second half of last season away from Serie A on loan at QPR, and appears keen to return to English football.