(Reuters) -A KKR-Stonepeak consortium would buy British healthcare REIT Assura for 1.61 billion pounds ($2.06 billion), the companies said on Wednesday.

The deal comes shortly after Assura said it had rejected a 1.5 billion pound cash-and-stock takeover proposal from industry peer Primary Health Properties ( PHPRF ), saying it was not at a level that is sufficient to be recommended to shareholders.

Under the terms of the deal, shareholders will get 48.56 pence in cash for each share held and a quarterly interim dividend of 0.84 pence.

The 49.4 pence-per-share bid was the fifth for Assura from the consortium involving private equity giant KKR, and is at a 33.5% premium to Assura's closing price on February 13, a day before the first bid was disclosed.

($1 = 0.7799 pounds)

(Reporting by Aby Jose Koilparambil, Raechel Thankam Job and Chandini Monnappa in Bengaluru; Editing by Nivedita Bhattacharjee and Mrigank Dhaniwala)