No reason they couldn't do what they've done with past movies -- do their own storyline about how the movie's events affect them, or about the role they play in the movie's periphery. After Thor: The Dark World, they had an episode about the team cleaning up the wreckage afterward and dealing with an Asgardian artifact (although one not directly related to the film's events). The Winter Soldier triggered the whole HYDRA/Ward story arc that lasted on the show for several seasons. They led into Age of Ultron by showing the team tracking down Dr. List and Loki's scepter and Coulson and Koenig readying the Helicarrier for Fury. They followed up Civil War by having the Sokovia Accords require Inhuman registration and regulation, which drove a lot of subsequent plotting. They followed up Doctor Strange by doing a season-long storyline involving magical forces and books looking much like those in the movie. And the recent half-season tied loosely to Guardians of the Galaxy by featuring the Kree and various technology resembling that in the film. Even the indirect connections still tend to have a major impact on the show's storylines.
It looks like AoS's season finale -- which they're writing as a potential series finale, just in case -- airs just two weeks after Infinity War comes out. So I'd be surprised if the climactic storyline weren't affected by the movie somehow.
It looks like AoS's season finale -- which they're writing as a potential series finale, just in case -- airs just two weeks after Infinity War comes out. So I'd be surprised if the climactic storyline weren't affected by the movie somehow.