Woodward guided England to World Cup glory in 2003 and led the British & Irish Lions on their tour of New Zealand last summer, but he has since pursued an alternative career and is currently director of football at Championship side Southampton.
Baron said: "As announced, we are in the middle of an all-embracing review of England's Six Nations performance and no decisions will be made until the completion of that review.
"It is also important to stress that Sir Clive is in a senior position under contract to another organisation and we would not dream of approaching him without talking to that organisation first.
"I shall be writing to the chairman of Southampton on Monday to make it clear that, contrary to media speculation, we have not made any approach to his employee."
England have struggled since their World Cup success in Australia, finishing fourth in this year's Six Nations and ending their campaign with a hat-trick of defeats.
Martyn Thomas, chairman of the RFU management board, added: "The current detailed review on England's Six Nations will lead to the RFU management board making final decisions on April 26, with the RFU council meeting receiving the full report on April 28."