Having won three qualifying ties, including a triumph over former world No.38 Donald Young, Baker will take on Lukas Rosol, who beat Rafa Nadal at Wimbledon last year.
Baker trained with Murray in Miami in December, and said: "He is one of the best three in the world, to see what he does on a daily basis has been great.
"Just hitting balls with him is so eye-opening. At times I will come off the court and say I just cannot understand how he has got that good."
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