He surpassed wide receiver Derrick Mason, who previously held the record with 5,777 yards, with an 11-yard reception at the start of the game and now sits at 5,785 yards.
Andrews also needs just six receptions to surpass Mason (471) on the Ravens' all-time receptions list
The 30-year-old had 244 yards and five touchdowns on 29 receptions (38 targets) through nine games heading into Sunday's matchup.
Baltimore drafted Andrews in the third round of the 2018 NFL Draft, where he's been his entire eight-year career.
In his time with the Ravens, Andrews went on to become a three-time Pro Bowl and an NFL First-Team All-Pro in 2021 when he put up 1,361 yards - third-most ever by a tight end in a single season - on 107 receptions.
Since being drafted, Andrews has led the Ravens in receiving in three different seasons (2019, 2021, 2022). He's put up at least 500 yards with five touchdowns in every single season but his rookie year.
Andrews was in the top five of receiving yards for tight ends for five straight years (2018-2022) and set a career-high with 11 touchdowns last season, paired with 673 yards on 55 receptions.
He has the chance to surpass Hall of Fame tight end Mike Ditka (5,812) and Ravens legend tight end Todd Heap (5,869) in career receiving yards this season.
Baltimore was 4-5 heading into Sunday's matchup against the Browns and will be coming back home for a matchup against the New York Jets.