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Raducanu is currently working with her fifth different coach, Sebastien Sachs, who guided Belinda Bencic to Olympic gold and has also worked with former world No 1 Victoria Azarenka and Germany's Julia Gorges.
Andy Murray's former physical trainer Jez Green has also worked alongside the 20-year-old during the off-season.
Puig believes it's vital for Raducanu to have an established and settled team in place for her to set her future goals.
"Not necessarily big ones because she won that Grand Slam title, but she hasn't been able to string many results together in a row," said Puig.
"Let go of the expectation after winning a Grand Slam. First it's small goals so quarter-finals, semi-finals and finals consistently of 250 events. Maybe win a couple more matches in a row and work on things on the court. See your opponents. What are they doing to you? Where are the holes in my game and start filling in those holes by practising more on those things. It can take the pressure off her back."