"Don't apologize! It's brilliant that you're not even if this is a dream! My mum is that cousin - my gran is Andromeda," though he would have figured that even in his dreams, Sirius would know the family tree. Only he kept going on about this time travel business and now 2038 which wasn't really that far in his future if he really thought about it.
But he had kept the bigger part to himself. He should have separated from the hug at some point but he kept his arms around Sirius's middle, grinning like an utter loon. "I don't... fully believe that like, you know it's weird, yeah? But I never dream about you so I'm going to take it as an opportunity to fill my head with nonsense because you're one of my dad's best friends." The grin grew wider, "Hi. I'm Teddy Lupin."