New York Giants are giving former Houston Texans running back Devin Singletary a three-year, $16.5 million deal worth up to $19.5 million, a source told ESPN's Adam Schefter on Monday.

Singletary will have big shoes to fill in New York's backfield after former franchise star Saquon Barkley agreed to a three-year deal with the Philadelphia Eagles earlier in the day.

In his first season with the Texans, Singletary finished with 1,091 yards from scrimmage, including 898 with four touchdowns on the ground.

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Singletary, who turns 27 on Sept. 3, came to Houston on a one-year, $4 million deal after four seasons with the Buffalo Bills. The expectation was that he'd be a backup to 2022 fourth-round pick Dameon Pierce, who had totaled 939 rushing yards in 13 games as a rookie.

Pierce, however, suffered an ankle injury in Week 8 against the Carolina Panthers and missed three games, providing an opportunity for Singletary, who took over the starting role for the rest of the season. From Week 9 to Week 18, Singletary rushed for 715 yards, which ranked third in the league over that span.

He even has a touchdown pass to his credit -- a 6-yard toss to tight end Dalton Schultz in a 30-6 victory over the Pittsburgh Steelers last season.

Singletary has averaged 4.6 yards per carry over his 78 career games, with 20 touchdowns. He has also caught 175 passes for 1,164 yards and four TDs.

ESPN's DJ Bien-Aime contributed to this report.