Solanke is currently in a contract stand-off with Chelsea and is demanding £50,000-a-week to stay at Stamford Bridge.
Both Arsenal and Liverpool have been linked with a move for the 19-year-old striker.
RB Leipzig have held talks with Chelsea over a move for Dominic Solanke
But the Daily Mail claim Leipzig are now leading the race for the youngster.
The Bundesliga club have apparently already held talks with Chelsea regarding Solanke.
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However, the Blues are reluctant to sell to the Germans as they would miss out on substantial compensation if he moved abroad.
Instead they want around £8million for the forward.
Solanke has only made one first-team appearance for Chelsea, and spent last season on loan at Dutch side Vitesse Arnhem.