They can't transfer within conference.
From the Big East rules:
BIG EAST INTRA-CONFERENCE TRANSFER POLICY
Student-athletes in the sports of men’s basketball, women’s basketball and football, are not permitted to transfer (directly or indirectly) from one BIG EAST institution to another BIG EAST institution and participate in any capacity in the sports of men’s basketball, women’s basketball or football. However, these student-athletes may transfer (directly or indirectly) from one BIG EAST institution to another BIG EAST institution and may participate in sports other than men’s basketball, women’s basketball or football pursuant to the transfer parameters in the next clause. There are no exceptions or waivers to this rule.
Student-athletes in all other sports may transfer (directly or indirectly) from one BIG EAST institution to another BIG EAST institution and participate in any sport other than men’s basketball, women’s basketball or football, provided that prior to competing for the second Conference institution the student-athlete serves a year in residency at the second Conference institution. During the year in residency [two full semesters or three full quarters (which shall be determined in accordance with NCAA rules associated with transfers)] the student-athlete shall not lose a year of eligibility, and shall be eligible to practice and receive athletically related financial aid. There are no exceptions or waivers to this rule.