The Texans had built up an impressive lead over the Patriots, however a fight-back led by quarterback Tom Brady allowed New England to amass a dominant 27 points by half time.
"Either teams are spying on us or scouting us," Smith told a group of reporters after the game.
"I'm very suspicious. I just think it will be a big coincidence if that just happened by chance. I don't know for sure, but I just know it was something that we practiced this week.
"I'm saying it seemed like it. You can't never be for sure on anything because I ain't over there in their huddle, in their locker room, but it just felt like it."
The Texans now find themselves fourth in the AFC Southern Division, with a record of 2-10.