There was no need for Logan to completely change into his speed suit, as Layla wasn't as fast as the other vampires. Changing into another form now would just frighten those she ran past. Right now, she was using Qi on her feet to allow her to run faster to catch up to that mysterious man. Not wanting to fall behind, Logan created a pair of speed boots for himself out of the spiders.
He was keeping up with the girl with relative ease and soon enough he saw who it was she was running after. For Layla to be chasing after someone like so, he could only assume it had something to do with Pure. Eventually, the man had disappeared between two large buildings into a dark alleyway. For a second Layla waited outside of it, she might be desperate for information, but she wasn't foolish enough to just run in.