Story highlights Scalise was injured in a shooting at baseball practice on June 14

He is back in the intensive care unit, his office says in a statement

(CNN) Rep. Steve Scalise has been readmitted to the intensive care unit "due to new concerns for infection," a statement from his office said.

His condition is listed as serious, according to the statement.

Hodgkinson, a small business owner in Illinois, had been vocal about his support for Bernie Sanders -- and his hatred for conservatives. He died following a shootout with authorities.

Update from @MedStarWHC on the condition of Majority Whip Steve Scalise: pic.twitter.com/YnEDhiX4gO — Rep. Steve Scalise (@SteveScalise) July 6, 2017

Scalise sustained a single gunshot wound to his left hip and suffered "significant damage" to his blood vessels, bones and some internal organs, his doctor said last month.