Raducanu was scheduled to play with former Wimbledon champion Murray on Saturday, but opted to pull out of the tie due to a stiff wrist.
Carlos Alcaraz is chasing a fourth Grand Slam title and attempting to become just the sixth man to win the French Open and Wimbledon back-to-back.
The men's doubles loss is not the final game of Murray's career, as he is set to participate in the Wimbledon mixed doubles alongside fellow Brit Emma Raducanu.
The two-time Wimbledon singles champion will also play men's doubles with his brother Jamie at the All England Club.
Emma Raducanu has declined the opportunity to represent Great Britain in next month's Paris Olympics.
Former US Open winner Emma Raducanu is likely to miss the French Open at Roland Garros after withdrawing from this week's qualifying tournament.
The 30-year-old Austrian announced last week he was retiring at the end of the season after a career plagued by a long-term wrist injury.
Former US Open champion Emma Raducanu said it was "amazing to be playing pain-free" after an impressive 6-3, 6-2 win over American Shelby Rogers in the first round of the Australian Open
Iga Swiatek will be a hot favourite to win a first Australian Open when it begins on Sunday, but could face a stiff challenge from former champions Aryna Sabalenka and Naomi Osaka.
Emma Raducanu said on Wednesday she will miss the French Open and Wimbledon as the British number one recovers from hand and ankle surgery