You have my word.

To have my sincere or solemn promise, assurance, or vow (about or to do something). A: "I'm leaving the kids with you. Promise me you'll keep them safe while I'm gone." B: "You have my word." You have my word that the money will be in your bank account by tomorrow afternoon.

See also: have

See also:

be (as) serious as a heart attack
(as) serious as a heart attack
be at a disadvantage
at a disadvantage
address (one's) comments to (someone or something)
address comments or remarks to
address (one's) remarks to (someone or something)
(the) odds are against (something)
be (as) hearty as a buck
a run on (something)

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