Goodwillie has been linked with Rangers.
But after their Scottish Cup draw with Ross County, Houston said: "No formal offer has been made.
"I'm not expecting any because the chairman hasn't said that anyone else has been on.
"If David Goodwillie goes and we get the right money for him, good luck to him.
"I will be the first to shake his hand because, the way he is performing, he has earned maybe getting a move to a bigger club."