Lampard will also take Given with him as goalkeeper coach from Derby.
Lampard is said to have already been involved in discussions with Chelsea owner Roman Abramovich before verbally agreeing to take up the position.
The 40-year-old is under contract at Derby, but the Blues will use some of the £7m compensation they receive from Juventus for Sarri in order to offset the £4m cost of appointing him.
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