Gruden, the younger brother of ESPN "Monday Night Football" analyst Jon Gruden, just finished his second season with the Bengals. He previously served as an offensive assistant on his brother's staff in Tampa Bay from 2002-08. Jay Gruden also coached several years in the AFL, winning the Arena Bowl title twice.
The Eagles have already interviewed five candidates to replace Andy Reid, who was fired after 14 seasons and was introduced Monday as the new head coach of the Kansas City Chiefs. The Eagles are planning to meet with Seattle defensive coordinator Gus Bradley and Indianapolis offensive coordinator Bruce Arians this week.
Philadelphia interviewed Atlanta assistants Mike Nolan and Keith Armstrong, Denver offensive coordinator Mike McCoy and Penn State coach Bill O'Brien and Oregon's Chip Kelly. O'Brien and Kelly returned to their schools.
Jay Gruden has also been granted permission to interview for the Arizona Cardinals coaching gig and is expected to interview for the job in the coming week.
Information from ESPN NFL Insider Adam Schefter and The Associated Press was used in this report.