keep abreast

“(Granger's) took up the line of march for Knoxville, my men carrying in their haversacks four days 'rations, depending for a further supply of food on a small steamboat loaded with subsistence stores, which was to proceed up the Tennessee River and keep abreast of the column.”

Fictionaut: She Makes Her Mouth Small & Round & Other Stories

“Von Ribbentrop had himself driven to the battalion command post so he could keep abreast of the situation.”

Panzer Aces

“Elena, though, urged Mist to keep abreast of the plainsman’s steed.”

Wit'ch Storm

“The captain nodded and considered, and walked for'ard on his own deck to keep abreast of the faster vessel.”

A SON OF THE SUN

“She constantly took refresher courses to keep abreast of medical advancements and new procedures, and took other home cases on a day-work basis.”

Simon & Schuster: The Best Way to Lose