He noted his stance would be the same for any political figure, including Barack Obama.
"If it were Barack Obama coming to the Garden, I would say, 'Stay home. Stay at the White House,'" Smith said.
Smith predicted an unprecedented environment for Monday's game, saying he expects to see something he has never witnessed in over 30 years of covering sports.
On the court, the Knicks hold a 2-0 series lead over the Spurs after winning both games in Texas.
New York overcame a 14-point deficit in Game 1 and survived a fourth-quarter collapse in Game 2 behind clutch plays from Jalen Brunson.
>>> Mohammad Saleem Takes Six Wickets Against India in Mullanpur Test
The Knicks enter Monday's contest on a 13-game postseason winning streak and are two victories away from their first NBA championship in 53 years.