I am an associate at an AmLaw top ten firm.
Your question is complex. Why do you want to major in psychology? If it is because you are personally interested in it, and you might do something other than go to law school, then go for it. If there's a chance you might want to go into counseling or social work, there's no reason not to major in psych. You can still get into law school -- no law school will hold a non-law related major against you when considering you for admission.
But if you know you're going to law school, and you want to major in the discipline that will be most useful to you, there's truly only one answer to your question. Major in English. Learn to read (i.e., to comprehend and analyze what you are reading). Learn to write (i.e., persuasively, objectively, technically, analytically). Assuming you know how to read and write, learn to read and write better. Concentrate on becoming the best reader and writer you can. That is what will help you as a lawyer more than anything else you might learn as a college student.
If you have an aversion to an English major, then major in philosophy. Sounds "useless" to you? Wrong. Learn to think. Learn to argue. Learn to push contradictory ideas up against each other, and evaluate them. Learn the significance of the context to that evaluation.
Do not concentrate on trying to learn substantive material that you believe will help you in law school. It won't. You will be taught all the substantive material you need while you are in law school. You don't need to understand "political science" to succeed in law school (or as a lawyer); you don't need to know a lot of "history" to succeed in law school (or as a lawyer); you don't need even need to know a lot of LAW to succeed in law school (or as a lawyer). Law school will give you what you need in those respects and, where it does not, you will gather it on your own in your practice of the law.
What you need to know before you show up at law school is how to read, write, and think. In law school, you will be taught to read, write, and think like a lawyer. You can always minor in psych.
This answer is about what you need to succeed in law school, not about what you need to gain admission. As to the latter, your major is unimportant. Approximately 90% of the admissions decision for all the top law schools is a formulaic weighted analysis of your undergraduate GPA combined with your LSAT score.
It depends on your grades. If you don't have straight A's, forget about getting a job as a lawyer.