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The sessions have included one-to-two teammates alongside James at any one time, Charania adds.
Though the identities of the players weren't revealed, those involved were reportedly tested for the coronavirus and have maintained social distancing during the sessions.
Several NBA franchises started reopening their training facilities in May. The Lakers were reportedly set to partially reopen their training center this past Saturday, giving players the opportunity to voluntarily work out on a court while the NBA season remains suspended.