When did David originally promise Bathsheba that Solomon would be king?

We read in 1 Kings 1:13 that David had sworn to Bathsheba that Solomon would be king after him. Where do we see this promise origially being made?

In 1 Chronicles 28 we are given the account of David assembling the officials and telling them that Solomon will be the one to rule after him and the one to build the temple for the Lord and they anoint Solomon again as king. In 1 Kings 1:13, he asssures Bathsheba that he will rule, but it is after Nathan speaks that he calls Bathsheba back and tells her that he will make Solomon king that very day. And by David’s command, Solomon is proclaimed and annointed king.