A special meeting of Dell shareholders is set to take place on July 18.
It was recently reported that Dell and Southeastern were in talks with banks and asset managers to secure up to $7bn for their counter-bid for Dell.
Icahn and Southeastern, which collectively hold a 13 per cent stake in the company, have offered $12 per share in cash or newly issued stock compared with the $13.65 per share offer from Dell and Silver Lake.
Back in March Icahn offered $15 per share for 58 per cent of the company.
Private equity major Blackstone also strongly considered making an offer from Dell, but pulled out of the race in April.
The decision was reported to be due to a lower earnings forecast from Dell’s management, which expects operating income to fall to $3bn from $3.7bn.
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