WASHINGTON — Bay Area Rep. Mark DeSaulnier’s condition is stable, though he remains in critical condition after he was hospitalized with pneumonia earlier this month, his sons said Tuesday.

The congressman’s sons, Tristan and Tucker DeSaulnier, said he still being treated in the intensive care unit.

The 67-year-old DeSaulnier, D-Concord, was admitted to a hospital March 13 with pneumonia, a complication after he fell and fractured a rib on a run. His office said he was tested for the coronavirus and that the results were negative.

“The doctors are hopeful that he remains stable, but he has much improvement to go,” his sons said in a statement.

They thanked Californians for the “outpouring of support, prayer and love” for their father.

“He has devoted his time, energy and his life to the citizens of California, and we hope that you will all continue to lend him your support while giving him the quiet he needs as he continues fighting the good fight,” they said.

DeSaulnier was originally admitted to the hospital in serious but stable condition. Over the weekend, his office said he was critical condition.

The third-term congressman is in remission for stage four chronic lymphocytic leukemia, which he was diagnosed with in July 2015.

Dustin Gardiner is a San Francisco Chronicle staff writer. Email: dustin.gardiner@sfchronicle.com Twitter: @dustingardiner