Thompson has not yet decided to seek the Republican presidential nomination. But “he is getting more serious every day,” said an adviser familiar with Thompson’s plans.

Thompson’s coming-out as a candidate-in-waiting will be a May 4 appearance at the 45th annual dinner of the Lincoln Club of Orange County in the heart of Ronald Reagan country in Southern California. The invitation was widely sought by aspiring Republicans, and his advisers expect considerable media attention around the visit. But there are no plans now for an announcement then.

Politico

It seems like more of a possibility each day that he is going to jump into the race, but still no certainty. He is definitely taking his time on making the decision. Strategery, perhaps.