Both players were withdrawn from the pre-season friendly against Luton as a precaution due to minor issues.
Solanke, who had a minor ankle problem, and Udogie, who felt discomfort in the warm-up, are expected to join the squad for the upcoming Hong Kong tour.
Spurs played two pre-season matches, drawing 2-2 with Wycombe and 0-0 with Luton.
Frank expressed satisfaction that most players gained significant match fitness, completing around 75 minutes across the two fixtures.