The governor disclosed his lack of direct communication with Trump at a news conference called to announce environmental initiatives. Hogan said he has held talks with other members of the incoming Trump administration, including Vice President-elect Mike Pence.
Hogan's office confirmed last week that the governor will attend the ceremony with his wife, Yumi. However a spokeswoman would not say then whether the governor and Trump had spoken.
Before the election, Hogan was one of a handful of Republican governors who steadfastly refused to support the party's presidential nominee. Hogan said he wrote in the name of his father, former U.S. Rep. Lawrence J. Hogan Sr.
One of the GOP governors who also refused to support Trump, Charlie Baker of Massachusetts, recently disclosed that he had a brief but "cordial" conversation with the president-elect.
Though Hogan's relations with Trump haven't warmed to the extent of a phone conversation, the governor predicted his administration and Trump's would work smoothly together.
"Things are going to be great," Hogan said.