It can be a sticky situation. People are needy in recovery, and just needy in general. I don't know what to advise you. Wish I did.
It can work both ways. There was a guy who was calling a woman multiple times per day and she said, "I can't deal with this. I'm still sick." He finally stopped the pursuit, but not after he had badgered her to an excessive degree.
She wasn't into it whole heartedly, but being payed attention to is always flattering and hard to resist sometimes.
Of course, I don't know what was going through her mind. Just guessing. Perhaps she feared stalking and was scared.
Stalking is hell on wheels and can only end in heartbreak in a committed relationship. I certainly hope that's not what is happening with your partner in any aspect.