Manchester United have reached an agreement to sign Argentina defender Marcos Rojo from Sporting Lisbon.

United said the deal, which Sporting say is worth £16m, is subject to a medical and personal terms.

Sporting have also confirmed Nani, 27, is returning on loan, seven years after the winger joined United from Lisbon.

Left-sided defender Rojo, 24, played in all six of Argentina's World Cup games on their run to the final in Brazil this summer.

The deal for Rojo had appeared imminent since the player told Argentine radio station Continental on Monday it would be a "dream to play at Manchester United".

Last week he refused to train with Sporting due to his frustration at not being allowed to leave, although he subsequently apologised.

" A further announcement will be made when the process is complete," said United in a message on the club's Twitter account  on Tuesday.

In a statement released to the Lisbon stock exchange  , Sporting released the payment schedule agreed with United for the player.

Sporting will receive £8m immediately, with further instalments of £4m being paid on 1 December this year and 1 July, 2015.

In addition they will get 20% of any sell-on fee for Rojo over £18.4million.

His versatility makes him a good fit for United manager Louis van Gaal's preferred 3-5-2 system.

Rojo, who joined Sporting from Spartak Moscow in July 2012, missed the Portuguese club's first league game of the season last weekend.