The time difference thing still had him turned around; it didn't really occur to him that she wouldn't know Steve was alive.

Or that he maybe shouldn't be telling her so, in case she did get back to her own time and then messed things up by finding him too early. Then again, she already knew Bucky was alive, and was just as likely to save him too early.

If there was such a thing as 'too early', in his case.

"HYDRA sent me to kill him. I nearly did, but he saved me and I... It woke me up. Brought me back to myself enough that I ran. I been running ever since, trying to stay away from HYDRA and the authorities. But I never wanna fight him again."