Oh, yes indeed. Frodo can't help but frown as he grips his fists at his sides to keep from reaching for the Ring. He can't hear its voice as clearly here, but the call is still strong, silent as it may be.

"I might know what you speak of, Bilbo. A ring. You granted it to me in your will along with Bag End," then remembering how morbid that might sound-- "Only because you meant to go on another adventure, a more pleasant one, so you had me hold it for safekeeping."