The Colombia international has impressed at the Allianz Arena since joining on a two-year loan deal last July.
Bayern chairman Karl-Heinz Rummenigge confirmed last month that they have the option to sign James on a permanent deal for €42million, although he stressed there was no rush over triggering the clause.
James himself admits he would be delighted to stay in the Bundesliga, telling reporters after Bayern’s 3-1 win over Cologne on Saturday: “I’m doing very well.
“It’s a good league here in Germany, the stadiums are full. I came here with a different perception.
“I’m fine, I hope I stay here. I feel very good.”
James has registered seven goals and 11 assists in 22 Bundesliga appearances in 2017-18.
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