The latest census is showing that to be the case (which is no surprise as that is where most people prefer to live given the choice) as this article from New Geography notes.
“Metropolitan area results are beginning to trickle in from the 2010 census. They reveal that, at least for the major metropolitan areas so far, there is little evidence to support the often repeated claim by think tanks and the media that people are moving from suburbs to the historical core municipalities. This was effectively brought to light in a detailed analysis of Chicago metropolitan area results by New Geography’s Aaron Renn. This article analyzes data available for the eight metropolitan areas with more than 1 million population for which data had been released by February 20.
“Summary: Summarized, the results are as follows. A detailed analysis of the individual metropolitan areas follows (Table 1).
• In each of the eight metropolitan areas, the preponderance of growth between 2000 and 2010 was in the suburbs, as has been the case for decades. This has occurred even though two events – the energy price spike in mid-decade and the mortgage meltdown – were widely held to have changed this trajectory. On average, 4 percent of the growth was in the historical core municipalities, and 96 percent of the growth was in the suburbs (Figure 1).
• In each of the eight metropolitan areas, the suburbs grew at a rate substantially greater than that of the core municipality. The core municipalities had an average growth from 2000 to 2010 of 3.2 percent. Suburban growth was 21.7 percent, nearly 7 times as great. Overall, the number of people added to the suburbs was 14 times that added to the core municipalities.”