* Prices fall after consumer sentiment improves * Budget talks could be focal point, may send yields lower * Treasury to sell $9 bln 30-yr TIPS next week By Karen Brettell NEW YORK, Feb 15 (Reuters) - U.S. Treasuries prices slipped on Friday, though yields held under key support levels at 10-month highs, after data showed improving U.S. consumer sentiment and following the sale of $72 billion in new supply this week. Budget talks in Washington are expected to dominate trading in the coming weeks and may bring a bid back to the bonds. The Thomson Reuters/University of Michigan's consumer sentiment index rose to 76.3 from 73.8 in January, topping economists' forecasts of 74.8. "The number was stronger than expected and consistent with a U.S. economy that continues to grow," said Eric Stein, portfolio manager at Eaton Vance in Boston. That said, "the recovery is not booming by any stretch of the imagination." Benchmark 10-year notes were last down 9/32 in price to yield 2.04 percent. The notes have tested support at yields of around 2.03 percent to 2.06 percent over the past few days but failed to break higher, which could set the notes up for further weakness. The next focus for the market will be negotiations in Washington over automatic budget cuts, scheduled to come into effect on March 1. If implemented, the cuts are expected to reduce economic growth, which could send rates back lower. "The sequester is the big budget thing going forward," said Alan De Rose, head trader of government trading and finance at Oppenheimer & Co in New York. "I think the combination of the Fed buying and some of the headwinds that are going to come from some level of budget cuts is not going to let rates go up too much," he added. A new $9 billion sale of 30-year Treasury Inflation-Protected Securities (TIPS) next Thursday will also be closely watched, after months of strong demand for inflation-linked bonds. The auction risks being weak as the debt is offering a record low coupon of around 0.58 percent, based on Friday's levels, and as consumer price data will be released earlier the same day. "CPI coming the same day as the auction adds one more element of uncertainty to the TIPS set up, I think it will make it harder," said Aaron Kohli, an interest rate strategist at BNP Paribas in New York. Investors wanting to roll existing holdings into the new issues may also choose to wait for larger auctions of the bonds in the coming months, Kohli added. Markets also were focused on a meeting in Moscow of financial officials from the Group of 20 nations on Friday, that is expected to be dominated by the debate over exchange rates. . At issue is whether the loose monetary and fiscal policies of the United States, Japan, Britain and the euro zone amount to strategies of "competitive devaluation" or currency manipulations intended to boost exports and growth.