Werner enjoyed a fantastic 2016/17 debut season for Leipzig, scoring 21 goals from 31 Bundesliga appearances, before helping Germany win the Confederations Cup in the summer.
The 21-year-old has started off the current campaign in impressive fashion, notching three strikes from as many games, and he showcased his talent in the 1-1 Champions League draw against Monaco recently.
Several reports have linked Real Madrid with a move for the striker and the Stuttgart-born ace says he would like to play for a top European outfit at some stage in his career.
However, Werner insists he is not pushing for an exit and says he would be keen on extending his current contract, which runs until 2020.
"Of course, I look at the offer. If I do not extend now, that does not mean that I switch in the summer," he told Germany's Sport Bild. "On the other hand, it is often not the case that five years remain if the contract is still five years. Football is so fast, you never know where you are tomorrow.
"But I feel extremely comfortable at RB and would like to play here for a while. Also for the super Leipzig fans, also to give them back something for their support from the past."