Hill has revealed he has spoken this week with Grove and outlined what the centre will need to do to earn a place in the match day squad for the RFU Championship.
"To be fair to Alex and the other players he will have to earn his spurs," said Hill. "He is a very good player, but he has only just arrived back at the club and as far as I am concerned he needs to prove to me and the players that he is good enough to come into this team.
"At the moment he is looking to play against Leinster in the British & Irish Cup, Plymouth Albion the week after and then possibly Northampton Wanderers in the A League.
"I will watch him in those three games, we will get a good feel for where he is and after that he will be available for selection for the first team if he has made a good impact on us - I hope he does."
Worcester switch their attention to British & Irish Cup for two weeks after the visit of Bedford Blues this Saturday and Hill believes the competition will have a crucial role to play in ensuring the squad is in peak condition.
"The British & Irish Cup is very important to us," stated Hill. "Bearing in mind we have nine weeks until the play offs, we have only got five Championship matches to go which isn't a lot.
"We have got another six games, including the B&I Cup and A fixtures, so it is important the players who are not in the 22 for those five Championship games in this period get some game time.
"If we didn't have the B&I Cup there would be a group of players that would not get much rugby in the next nine weeks and that is far too much.
"We have got to keep everybody in the squad match fit and sharp. We want that incentive to keep the training going with other games.
"The B&I Cup has become very important for preparation but it is also a project for Andrew Stanley and Gary Meechan from our Academy to run and those players who are on the fringe of the first team to do well.
"Although I have settled on a 22, that does not stop anyone else coming in at some stage, through injuries or loss of form."