It is correct as it is. It would be incorrect to use 'to'.
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slocawber- we don't normally use 'to' before 'home'.Is that true?Yes, when we are speaking about ourselves going to our own house, not someone else coming to our home.
slocawber- it is correct to say 'Do you want to come to my home';- we don't normally use 'to' before 'home'.Is that true?Correct.