Key U.S. data culminating in Friday's closely-watched jobs report and the Fed's target measure of inflation a day earlier may offer some sustenance to a directionless dollar, CNBC's latest market survey of currency traders, analysts and strategists showed.

Nearly 60 percent of CNBC poll respondents (16 out of 28) believe the U.S. dollar will rise this week. About 18 percent (5 out of 28) expect the greenback to decline while a quarter (7 out of 28) say the dollar will trade at around current levels.