Paul, 33, missed Houston's Game 6 loss on Saturday - a 115-86 blowout by Golden State despite the Rockets holding a 17-point lead in the first quarter - after sustaining the injury in the waning moments of the Rockets' Game 5 win over the Warriors on Thursday.
D'Antoni said that while Paul has been getting treatment around the clock, the nine-time all-star has not yet tested the hamstring out in any workouts since Game 5.
Golden State led by seven entering the fourth and pushed the lead to 10 on a 3-pointer by Thompson with about 9 1/2 minutes left.
This was further evidence that the Rockets, in this game and actually for the series so far, refuse to concede anything and believe this West title is realistic even with Paul's status uncertain.
The Rockets led 39-22 after the first quarter behind four early threes from Eric Gordon.
It slows the Warriors' offense down while making them more predictable, and that favors the Rockets' defense.More news: Chris Evert criticizes French Open for not seeding Serena Williams
Some Warriors fans showed up at Oracle Arena this morning saying they are excited about tonight's Game 7 against the Houston Rockets. I'm sure Harden will step up and probably have his biggest scoring night of the series, but unless the Warriors hand them a bunch of turnovers to gift them some free points, I don't see the Rockets having enough to get the win here.
A source told ESPN's Ramona Shelburne that Paul's hamstring injury is a Grade 2.
Did the National Basketball Association want the Eastern Conference finals to go to a Game 7?
"Effort. Intensity. Passion", Thompson said of the Warriors' second-half surge. Twenty. Six. At one point they missed 29-of-30. The Rockets had to play their starters heavy minutes and they just ran out of gas in the second half.
In Game 6, the Warriors tried to attack Houston with isolation and a heavy diet of Durant shots.
Game 7 tips at 9 p.m. ET on Monday in Houston, with the victor advancing to the NBA Finals.
It has yet to be determined how long Paul would be sidelined if the Rockets advance to the Finals. The head coach says Paul's recovery is going well, but he's going to be listed as questionable for Monday's game.
The Warriors are one win away from a fourth straight NBA Finals, while the Rockets seek their first Finals trip since 1995.