The 31-year-old, who stepped down as captain in June, had an Achilles injury but returned to action in a friendly for Real Madrid on Thursday.
However, BBC Five Live's Jonathan Legard understands that Beckham will not be in the squad to play Greece in a friendly at Old Trafford on 16 August.
McClaren will announce his backroom staff and squad at 1500 BST.
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Great news! So Lennon or SWP on the right then.
All we need is for him to also drop Lumplard annd we're sorted!