Andy Murray has never won the French Open but reached the final last year
Murray was forced to withdraw from the Miami Open in March with an elbow problem and also missed Great Britain's Davis Cup defeat to France.
His brother Jamie revealed that the problem was affecting his serving and Jim Courier, a four-time Grand Slam champion and twice at Roland Garros, believes that could leave him vulnerable on his already-weak second serve.
"He's talked about how he's had to warm up specially on that elbow before serving," Courier told ITV.
"It doesn't affect his ground-strokes.
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"His second serve isn't a natural kick serve – it's a slice because he tosses the ball out to the right-hand side and that's the only way you can hit it from there.
"So it's harder to control compared to a kick serve with which you can get aggressive and put top spin on the ball.
"As a product of his technique, it's difficult for him to have a heavy second serve.
"It's never going to be that 95, 100 miles per hour serve because he can't do it consistently.
Andy Murray is only affected by his elbow problem when serving
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Jim Courier is a two-time champion at the French Open and believes Murray's second serve is weak
"The geometry doesn't work.
"But he backs [the serve] up so well with his defence that he's usually able to neutralise the weakness."
Murray spent an unusually long time warming up at Roland Garros for his second round match against Martin Klizan.
The world No1 arrived at the complex at around 9am local time and did not get onto Suzanne Lenglen until just before 2pm.
However, Murray confirmed before the clash that he had found himself having to spend time warming up his elbow before practicing his serve.
The Scot was seen holding a small, weighted ball up in the air and moving it around in an effort to activate the muscles in his forearm and elbow.
But he believes the problem makes no difference to his groundstrokes and appeared not to suffer too much discomfort in his win over Andrey Kuznetsov in the first round.