Derby County will host Torquay United in a FA Cup first round tie at Pride Park Stadium on Tuesday night.
Liverpool will begin the defence of their EFL Cup title with a home game against Derby County at Anfield on Wednesday night.
West Brom made a below-par start to the new EFL Championship season and had to wait till their fifth match to get their first league win of the campaign.
Last season was not one to remember for Leicester City, as they could only manage an eight-place finish in the Premier League.
Derby fell to the bottom of the Championship, on minus points, as a result of the automatic 12-point deduction for entering administration.
Former Manchester United player Robson wants the youngsters to make the most of the pre-season to fight for a place in the senior team.
During a remarkable career, he played 763 games scoring 313 goals, becoming not only Manchester United's leading goalscorer but England's too.