The Rockets defeated the Timberwolves 119-100.
The Rockets are 1-3 and welcome the Clippers to Houston on Friday.
Houston's offer of four first rounders constitutes the maximum allowed within a 7-year timeframe.
The lottery protections on picks in this proposed deal would be limited.Discussions on the players involved in the Minnesota-Houston talks remain fluid, league sources said.
Though Butler has been trying to force his way out of Minnesota since the offseason, the Timberwolves have held onto him while continuing to field trade offers. Adding Butler would not only give them a third scorer and another isolation threat, but it would also shore up their wing defense, possibly bringing it back to last season's level (seventh in the NBA).
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Per Wojnarowski, the Rockets are including four future first-round draft picks in their most recent offer.
Taylor could have more interest in long-term draft assets than president of basketball operations and coach Tom Thibodeau, who wants the Wolves to continue as contenders now and may not be part of the organization when many of those potential picks are conveyed.
Butler, who has been outstanding to start the season, has appeared in four games and is averaging just shy of 25 points per game on 53.5 per cent shooting to go along with 5.3 rebounds and 3.5 assists.
The other major factors working against the Rockets are time and money, as they might not have enough of either to make the trade work.
Will the Timberwolves actually trade Jimmy Butler this season?