The club made a u-turn on Monday to sign the Manchester United midfielder on loan but it is yet to be rubber stamped by the Premier League.
Villa had initially pulled the plug on a permanent deal for Cleverley with the England man's wage demands pricing him out of a move.
He was also believed to favour a switch to Everton but the Toffees never struck a deal with United on deadline day.
That prompted Villa to reignite a move for the 25-year-old and they are waiting to see if they managed to complete it in time.
Villa had agreed a fee of around £8m with United for Cleverley but called the deal off on Monday after talks reached a deadlock.
Boss Paul Lambert has been looking to beef up his midfield despite adding Carlos Sanchez, Joe Cole and Kieran Richardson over the summer.
He also sold Karim El Ahmadi back to Feyenoord and loaned Aleksandar Tonev to Celtic.
Cleverley looks to have little future at Old Trafford with boss Louis van Gaal making him available and Hull were also interested before moving for Newcastle's Hatem Ben Arfa.
The England international has made 79 appearances for United, the last coming in their 1-1 draw at Sunderland in August.
Source : PA
Source: PA