No it won't. Wolves and West Ham are both below Liverpool. If either wins, the other will be on 5 points below Liverpool. Liverpool will only be 2nd bottom.
As it stands:
Liverpool ....P7 Pts6 GD-4 ... no game
Wolves ......P8 Pts6 GD-5 ... 1-1 v West Ham
West Ham ..P8 Pts6 GD-9 ... 1-1 v Wolves