* Dollar index recovers ground after recent weakness
* Tuesday's ECB conference hosts central bankers (Updates prices, market activity; adds analyst comments)
NEW YORK, Nov 13 (Reuters) - Sterling fell against the dollar and euro on Monday as investors worried about Theresa May's ability to stay on as British prime minister and get what they consider to be a good exit deal from the European Union.
May's blueprint for Britain's departure from the EU faces a crucial test starting on Tuesday, when lawmakers try to win concessions on the government's legislation to sever ties.
That test comes after the Sunday Times reported that 40 lawmakers from her ruling Conservative Party had agreed to sign a letter of no-confidence in her - eight short of the number needed to trigger a leadership contest.
"It seems like Theresa May continues to struggle within her own party," said Sireen Harajli, foreign exchange strategist at Mizuho in New York.
"That just highlights some of the internal weakness that the Conservative party has within its own self and I think thats going to undermine the Brexit negotiations going forward," she said.
Sterling was down 0.57 percent to $1.3113. Earlier it fell to $1.3188 its lowest since Nov. 6. It also fell below its 100-day moving average, a key technical level.
Against the euro, sterling slipped 0.65 percent.
"The price action suggests that sentiment towards the Pound remains bearish, despite November's rate hike," Lukman Otunuga, research analyst at FXTM in London, said in a note.
On Monday, the dollar index, which tracks the greenback against six major currencies, was up 0.1 percent at 94.49, recovering ground after a 0.6 percent decline last week.
Worries that a proposed U.S. corporate tax cut could be delayed to 2019 have pressured the greenback recently, but the dollar was on a firmer footing on Monday ahead of important domestic economic data, including inflation and retail sales numbers, due later this week.
"I think investors are happy to just kind of stay on hold today in anticipation of the information that we are going to be getting later on this week," Mizuho's Harajli said.
The euro was little changed as investors awaited a conference on Tuesday where central bankers may share their thoughts on the global economy.
European Central Bank chief Mario Draghi, Federal Reserve Chair Janet Yellen, Bank of Japan Governor Haruhiko Kuroda and Bank of England head Mark Carney will form a panel at the ECB-hosted conference in Frankfurt.
The Canadian dollar slipped against its U.S. counterpart, paring some of its recent gains. (Reporting by Saqib Iqbal Ahmed; Editing by Chizu Nomiyama)