Manager Ole Gunnar Solskjaer is leading a training camp at Pennyhill Park and the injured pair are set to link up with the main squad on Monday.
They will then have two days to impress to be involved in their second pre-season friendly against Brentford on Wednesday.
Martial hasn't played since he suffered a knee injury back in March and is building his fitness at Carrington.
He is currently working alongside Van de Beek who withdrew from the Netherlands squad at Euro 2020 due to a groin injury.
The star is now working his way up to full fitness alongside Martial ahead of his second season in the Premier League.
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