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Geynrikh, a maverick player with match-winning potential, struck in the 11th minute for the Uzbeks, who are in Group A with hosts Qatar, China and Kuwait in the January 7-29 tournament.
This is the second time he has scored against Bahrain this year. In October, Uzbekistan beat Bahrain 4-2 in Manama with goals from Geynrikh, Olim Novkarov, Odil Ahkmedov and Maksim Shatskikh.
According to reports, the Uzbek camp are happy with the way their training in Dubai is going and team doctor Abror Pirriev said there are no injuries in the squad.
The team are training twice daily.