The Sun says Nigel Pearson is set to sign Stoke winger Marshall today in a £1million deal.
Leicester's second offer for Marshall, 20, has been reluctantly accepted by the Potters.
Marshall has agreed a 3½-year deal with the Foxes and will be in the squad to face Middlesbrough tomorrow.
The former Manchester United trainee leaves Stoke after three years without making a single appearance.
Leicester have also pounced for Nottingham Forest's Wes Morgan for £1m.