Werner has caught the eye of several top clubs in Europe following his rapid progress with the Bundesliga outfit.
The 23-year-old has incredibly netted 26 goals and 10 assists in all competitions this season, catapulting Leipzig into the Bundesliga title race, and a huge advantage to progress to the next round of the Champions League after a first leg win against Tottenham Hotspur on Wednesday.
Liverpool are said to be favourites to land Werner in the summer, but Hamman has given reasons why the German should not join his former club.
"Timo Werner has continuously improved, he has scored again in the Champions League and has already scored more than 20 goals in the Bundesliga this season," Hamann wrote in a column for Sky Sports.
"I trust him to play in a very big team soon. It is of course an honour for him to be linked to Liverpool.
"The question is: does he match Liverpool? For me he is strongest when he comes through the middle and can use his greatest weapon: his speed.
"With [Roberto] Firmino, Liverpool have a striker who is always playable and connects a lot with his team-mates.
"If Werner went to Liverpool, I would rather see him outside, but there are two absolute grenades in the team with [Sadio] Mane and [Mohamed] Salah. If none of the three strikers get injured or move, he won't play and I don't think that's what he wants.
"Liverpool is the absolute benchmark, but in my view he would be better suited to Manchester United or Chelsea."
