"I would love to play my entire career here," Turner told reporters Tuesday.
The 27-year-old added that negotiations over an extension "have happened in the past, hopefully will happen in the future."
President of baseball operations Mike Rizzo said in September the two sides held talks during 2020 spring training and called Turner "a guy we want to build around."
The Nationals did not retain Bryce Harper and Anthony Rendon when they hit the open market, but the franchise has shown a willingness to pay top dollar under the right circumstances.
Turner has consistently delivered since becoming an everyday player in 2016. He boasts a career slash line of .296/.353/.480 with 75 home runs and 257 RBI. He's also third behind Billy Hamilton and Mookie Betts in FanGraphs' base running runs above average.
The 2020 season was the best of Turner's career. He finished fifth among position players in WAR (2.7), per FanGraphs, while compiling a .413 weighted on-base average. His .588 slugging percentage was nearly 100 points higher than it was in 2019 (.497).
The Nationals have every reason to keep Turner in 2023 and beyond, but Rizzo might have to make difficult decisions depending on how much ownership will spend. Corbin, Victor Robles and Juan Soto will be eligible for free agency in 2025, and Scherzer is due to hit the open market next offseason.