He plays his club football alongside former England captain David Beckham and scored 19 goals in 28 matches last season, in which the Galaxy reached the Western Conference final in the MLS before losing to FC Dallas.
Birmingham have allowed striker Garry O'Connor to leave St Andrew's to join Championship club Barnsley, where he has been on loan for most of the campaign.
Nikola Zigic and Cameron Jerome have been McLeish's preferred strike pairing, although the club's top scorer this season is Craig Gardner, who has netted five times from the centre of midfield.
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