That is according to American publication The Athletic.
Throughout the season, rumours have persisted that Walton is about to be sacked by the Lakers.
According to reports, Magic Johnson, president of basketball operations, even warned Walton in November that his job was on the line.
Since then, the team has gone on an impressive run, and worked their way up to fifth in the NBA Western Conference.
However, LeBron James suffered a groin injury on Christmas Day against the Golden State Warriors and is expected to be out for another month.
James has not played since the injury, and the Lakers have only won once.
More worryingly, they had suffered five defeats, including four in a row.
They went into their game against the Dallas Mavericks on Monday knowing that they needed a win to snap the streak, and a second-half comeback saw the Lakers come out with the 107-97 win.
According to Sam Amick of The Athletic, Walton has been assured he will not be fired despite the poor form.
He wrote in an article on Tuesday that Walton was ‘in no imminent danger’ of losing his job.
Jason Smith, Fox Sports NBA radio host, disagreed, however.
Speaking on Saturday, Smith tweeted that Walton was quickly running out of time.
“Things are a-getting a little hot for Luke Walton,” he posted.
“LeBron or no LeBron, if the Lakers are sitting at .500 midway through the season, he won’t be Lakers head coach for long.
“Impatience will win out…”