United Kingdom, May 12 -- Billy Ray Cyrus and Miley Cyrus are "so close to full healing".

The 'Achy Breaky Heart' singer and his famous daughter were believed to have been estranged since he split from her mom, Tish Cyrus, three years ago, but their relationship is beginning to improve and Billy Ray couldn't be more "proud" of Miley.

In an Instagram post titled 'Reflecting', he wrote in part: "I rarely comment on rumors but on this given day... I give you my truth.

"I'm so proud of Miley and her guts and courage. Her wisdom and strength to bring it when our family needed it most.

"We are so close to full healing. We have all been through a lot.

"I still very much believe in the power of prayer and respectfully ask if you do also, and...