Yes, your spouse's SSA1099 needs to be on your joint return. Wait until the return has been fully processed and then amend it to add the SS income.
https://ttlc.intuit.com/questions/2566895-what-does-it-mean-to-amend-a-return
https://ttlc.intuit.com/community/amending/help/how-to-amend-change-or-correct-a-return-you-already-...
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
