Going into a grad program in Linguistics without an undergrad degree?

My undergrad major is in Psychology-Spanish. It is not a double major but more like half and half. I am almost fluent in Spanish and I have a good understanding of Psychology. My question is whether the fact that my undergrad degree is not in linguistics will hinder me in my acceptance to a good grad program or not. I am currently looking at UCSC and University of Delaware. I have a lot more research to do, of course. I have also read a few introductory linguistics books and have just started rereading them so I will be sure about which branch is right for me. Right now sociolinguistics and comparative linguistics are looking very attractive to me. Phonology and morphology also sound really appealing. Ever since I was a child I have been absolutely fascinated by language and I thought studying a language was the best route for me in college until I started looking at linguistics more in-depth. Any advice is greatly appreciated. Oh yeah, and I'm about to start my senior year so I need to really get a move on!