Staging two competing World Cup events in the space of six weeks would be "insane", says ATP executive chairman Chris Kermode.
The International Tennis Federation has set out plans for an 18-team end-of-season event which will crown the Davis Cup champions from 2019.
The ATP's priority is to stage a revamped World Team Cup in Australia in the first week of January from 2020.
"Hopefully tennis works together and we come up with a solution," said Kermode.
Talks have already taken place between the ITF - the governing body of world tennis - and the Association of Tennis Professionals to try and find a compromise, he added.