O'Sullivan last week announced he would stand down from his role as United States head coach after deciding not to reapply for the position after two years.
The 53-year-old was appointed Ireland coach in 2002 where he enjoyed an six-year spell in charge during which the team won three triple crowns and he was also part of the Lions coaching team on the 2005 tour of New Zealand.
Now O'Sullivan has made public his interest in succeeding Johnson who resigned earlier this month following England's disastrous World Cup.
His agent John Baker told the Daily Telegraph: "Eddie is definitely interested in the England job.
"The England job is one of the most high-profile positions in world rugby and they are a side with tremendous potential.
"Eddie's big advantage is that he has tremendous experience of the Six Nations and a fantastic track record in that competition."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
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The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.