Jennifer Garner and Ben Affleck are turning their European family vacation into a month-long stay.

They plan to stay a month together in London with their three children, Violet, 10, Seraphina, 7, and Samuel, 4, while Affleck films Justice League, according to a source close to the couple.

“Jen has said Paris is where she has amazing memories of Ben,” another source close to Garner tells PEOPLE in this week’s issue.

Affleck, 43, and Garner, 44, have arranged for tutors to work with the kids so they can keep up with their schooling while living abroad.

For much more about Affleck and Garner, pick up the new issue of PEOPLE, on newsstands Friday.

Since arriving across the pond last week, the family has been using their time to travel around Europe. Last weekend, they were seen touring Paris, making stops for gourmet ice cream, shopping and visiting the Eiffel Tower before returning to London.

The former couple have sparked reconciliation rumors as they continue to spend time together. A source told PEOPLE they “appeared affectionate” while at dinner in Paris.

So are these signs of a rekindled romance? Not for now, say multiple sources.

“Ben wants Jen back,” says the Garner source, but “Jen is not ready to take Ben back.” The source close to the couple says “nothing has changed” in their relationship.

“They are coparenting the best they can,” adds another source who knows both of them. “Whatever incarnation of a relationship this is works for them.”