The German World Cup winner is in limbo.
Grosskreutz has not featured once for the Turkish side since leaving Borussia Dortmund in the summer and is now said to be up for sale. He was not registered in time by Galatasaray for the first-half of the season and he has become disillusioned with the situation.
But the German World Cup winner is now back in training with a club, but Liverpool should not have too much fear of beating them to his signing.
The team in question is Westfalia Wickede, who play in one of Germany's many regional leagues that form their sixth tier called the Westfalenliga - Group 2. The league is essentially the equivalent of the National League North and South in England but is considered a lower standard.
The team are based near where Grosskreutz lives and he is a good friend of their manager Marko Scott - who told Sport1 this week:
"Kevin is a good friend of mine and has trained at the same time, so he would not have to walk alone in the woods."
Of course the German international is simply with the club to keep fit during his time away from Galatasaray as he looks to sign for a new club.
Liverpool have been strongly linked with his signature this week but yesterday saw Hannoversche Allgemeine Zeitung claim that Hannover are now making a move to sign the player.