Murray made it to the semi-finals for the second time with a five-set triumph over home favourite Gael Monfils on Wednesday.
Next up for the Scot is a clash with eight-time champion Rafael Nadal, who has only ever lost one match at Roland Garros.
Many pundits have suggested Murray has already achieved success by making the last four, yet the two-time grand slam champion is determined to go further in the tournament.
“It’s definitely a big achievement (reaching the semi-finals), but that’s not what I came here to do,” he said.
“My goals are different and my expectations are different to a lot of people.
“I expect a lot of myself. I put a lot of pressure on myself to perform well at these events, and thankfully I have done okay so far.
“There’s still hopefully a long way to go in the tournament.”
The winner of Friday’s match between Murray and Nadal will face either Novak Djokovic or Ernests Gublis in the final.
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