The World Cup-winning Argentina star is carrying a hamstring injury and came on only for the last few minutes of a 6-0 friendly defeat to Al Nassr in Saudi Arabia on Thursday night.
Martino said he will assess Messi's fitness in training before deciding whether the eight-time Ballon d'Or winner will be able to start against a Hong Kong XI, a match that sold out in minutes.
"We had two very intense games (in Saudi Arabia this week), two more we have played in El Salvador and in Dallas."
Messi's Miami side lost 4-3 against Saudi's Al Hilal in Riyadh on Monday after games against El Salvador and Dallas FC. They will head to Japan for a match against Vissel Kobe on Tuesday to conclude a globe-trotting pre-season tour for the MLS side.
"We have the expectation that Leo will play as much time as possible," said Martino.