The 23-year-old has risen to prominence after scoring 27 goals in 36 appearances for the Bundesliga outfit this season.
The Germany international also helped Leipzig dump Tottenham out of the Champions League, scoring in the first leg and terrorising defenders in the second as Julian Nagelsmann's side strolled to a 4-0 aggregate win in the last-16 knockout round.
Werner was heavily linked with a big-money switch to Chelsea in the January transfer window but opted to stay put, committing himself to the club until the end of the season.
But more recently, there has been heavy speculation linking the forward with a summer move to Anfield as well as Bayern Munich.
Werner is believed to have a release clause worth around €55m (£50m) in his contract that expires before the end of April, which could weaken the German outfit's positioning when negotiating a fee.
But Mintzlaff believes that with three years left on his current deal, Werner will stay put and revealed the striker hasn't asked to leave.
"I’m deeply relaxed about Werner," Mintzlaff told Sky Germany.
"He hasn’t signalled yet that he wants to leave at the end of the season and he doesn’t have to.
"He has a contract until 2023."