Whatsapp Backup Special Case

I was using Whatsapp on my old phone, but suddenly it stopped working.
Luckily I had another phone so i installed Whatsapp on that and the backup was restored on that. The bad part is that i didnt back up the chat on my previous phone, so the restore that happened was like from months ago. (I didnt have enough icloud storage) for backup.
Somehow my old phone started working again and i was successfully able to back up the chat. Unlucky for me again, i would really like to have the chats on my new phone too.
My question is, whether i can restore the backup from the old phone to the new phone and still keep the messages from the new phone?