May 29 (Reuters) - Hedge fund Arex Capital Management on Wednesday sent a letter to Enhabit Inc's shareholders reiterating its push for refreshment at the company's board.

Arex in a letter to Enhabit's shareholders said that the company's board has not made any effort to engage with the hedge fund in "in good faith."

"A significant reconstitution of its membership is required and warranted," Arex, which owns about 4.9% of the company, said in the letter.

The hedge fund, which has also been pushing the U.S. home health and hospice provider to put itself up for sale, privately nominated the seven candidates in March during the company's nominating window, Reuters reported in

May

.

Arex said earlier this month that new directors are needed to help reverse poor financial performance.

Enhabit conducted a strategic review earlier this month and said it decided to continue as an independent, public company after having evaluated a range of strategic options.

Enhabit did not immediately respond to a Reuters request for comment. (Reporting by Sneha S K in Bengaluru; Editing by Maju Samuel)