"Maurice Greene has already said he is running in Paris, and if I get my deal, Tim will run there too," Charles Wells told Reuters.
Greene challenged Montgomery on Wednesday to race him before the world championships in Paris
"If he's there, the outcome will be the same as last year at the Golden League meet in Paris," said Greene referring to a race he won with Montgomery fourth.
Wells said Montgomery's next race after the U.S. championships would be in Glasgow on June 29.
"I'm also hoping he will run in Paris and am still negotiating with Rome," Wells said, noting that Montgomery's schedule would depend on the birth of his child.
His partner, triple Olympic champion Marion Jones, is expected to give birth on July 21.
Greene has races planned for Lausanne, Paris and Rome, he said on Wednesday.