Jenkins told the Western Mail, “I have been approached, but it is still in the early stages.
“It would be a fantastic opportunity to work with the top coaches in the four nations on such a demanding and high-profile trip. If it was to be, I’d be delighted.”
Yesterday Scottish Rugby Union chiefs confirmed that their director of rugby and Lions legend Ian McGeechan had also been approached by Woodward to come out of coaching retirement and join the Lions in New Zealand next summer.
But Murrayfield bosses have not yet made a decision about letting the former Scotland coach go for the duration of the tour.
A spokesperson said, “There is informal dialogue at the moment, but no decision has been taken.”
McGeechan has coached the Lions on three tours, guiding them to series wins over Australia (1989) and South Africa (1997), but he turned down the chance to take charge of the trip to Australia three years ago when then-Wales coach Henry took the helm.
Woodward’s England assistants Andy Robinson and Phil Larder, who also coached the Lions in 2001, will also be part of Woodward’s coaching team.
Other names in the frame for what is expected to be a six-man coaching resource for Woodward are Ireland coach Eddie O’Sullivan and his defence coach Mike Ford.
Woodward appears keen to dispel any fears that this tour will be dominated by England on and off the field by drawing on coaching experience from all over the country.
Woodward is expected to announce his coaching team in September or October with a preliminary 60-man squad in January.
That squad will be reduced to a 44-man tour party at the end of the 2005 Six Nations.