Houston officials have concluded interviews with potential coaching candidates and expect to have a replacement for Rick Adelman by the end of the week.
The Houston Chronicle reported that Rockets owner Leslie Alexander on Wednesday.
Other finalists include Dallas Mavericks assistant Dwane Casey and Boston assistant Lawrence Frank.
The Chronicle reports that the Rockets have told each candidate that they do not have a frontrunner for the position, according to an individual familiar with the process.
Adelman directed the Rockets to winning records in each of his four seasons with the team, although they missed the playoffs for the second straight season in 2010-11. They were the only team in the league with a winning record that failed to make the playoffs this season.