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The Stradey Park giants have been given little time to dwell on their Heineken Cup quarter-final defeat to Biarritz with the race for the League title reaching the home straight.
A surprisingly convincing 51-20 victory over a star-studded Leinster Lions team kept the Scarlets equal on points with Ulster at the top of the table with three games left, and Jenkins insists the Celtic crown would be more than just a consolation prize.
"Winning the League title is the ultimate proof of consistency, it's a measurement of the whole season rather than just a one-off moment in time and that's what would make achieving that so special," he said.
"We were obviously all hugely disappointed by the defeat in the Heineken Cup as we had genuine hopes for that competition this season, but the Celtic League has helped us come to terms with that and now presents an opportunity to win a major title.
"It's very tight at the top at the moment with three of us in serious contention in the final few weeks so there is absolutely everything to play for.
"That has made us keep our focus and helped us to continue with our momentum both as players and as management so it has been an important vehicle for us this season.
"We have had a very demanding season with the international commitments we have had throughout the World Cup and Six Nations with Welsh, Irish, American and Canadian international players in our squad. At times we have been without a dozen or more players.
"That is testament to our development here at the club but the fact that we are top of the table at this stage of the season is all credit to the strength of our squad and the emerging young talent we have coming through the ranks.
"The effort they put in, especially during between September and December, has held us in good stead and kept us competitive in the League and that is a strong motivation for us in the coming weeks."
The Scarlets host Glasgow this Friday night at their adopted North Wales home in Wrexham as they bid to incorporate the entire region in the new rugby structure.
And the omens look good after they beat Scottish opposition - The Borders - 36-20 in their only previous trip to the Racecourse Ground last November.
"With the new regional structure we have a responsibility to North Wales and with the facility at Wrexham Football Club we arranged to play two games there," said Jenkins.
"The first game was very early in the season but we had a fantastic response for that game with 6,000 turning up to watch. With all the work that has gone in North Wales since then and the importance of this game we are hoping for even more.
"All our attention is now on winning that game but we will be keeping a close eye on Ulster and The Dragons get on because at this stage of the season it's not just about your own performances."