Hartley's ban followed his red card for calling referee Wayne Barnes a cheat during the English Premiership final defeat of his Northampton club by Leicester on Saturday.
Hartley, the first player ever sent off in a Premiership final, claimed his comments were aimed at Leicester's Tom Youngs but a Rugby Football Union independent disciplinary panel found against the New Zealand-born hooker.
"With uncertainty over the availability of Dylan Hartley to tour, and with the first of 10 matches only days away we had no option but to call up the additional player," Lions manager Andy Irvine said in a statement.
"Despite the circumstances we should congratulate Rory, who will join the squad tomorrow and fly with us to Hong Kong.
"A final decision on whether Dylan Hartley will take any part in the tour will depend on the outcome of any potential appeal."
(Reporting by Josh Reich; Editing by John Mehaffey)
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