Beale was forced off the pitch in Durban and could miss the second leg of the 20,000-kilometre trek, which takes the Waratahs from South Africa to Argentina where they play the Jaguares in Super Rugby next weekend.
"Kurtley's got a small, looks like a rib cartilage (injury) so we're just waiting for a scan to see what we need to do there," coach Daryl Gibson told the post-match news conference.
After requiring a post-siren try to beat the Stormers in their season-opener in Sydney, the 2014 Super Rugby champions needed another late score to remain unbeaten on Saturday.
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Replacement scrum half Mitch Short, making his Waratahs debut, finished off a thrilling counter-attack three minutes from time and flyhalf Bernard Foley lived up to his 'Iceman' nickname by nailing the conversion from the touchline.
"Proud of the guys, we played pretty poorly but to still be there at the end is promising. We'll take a lot out of that," said skipper Michael Hooper.
"(We've had a) tough start, but you can look at it the other way and say a long leg of travel will already be done come next week."
(Reporting Nick Mulvenney, editing by Sudipto Ganguly)
