House prices in the region rose by just 0.2% month-on-month in November compared to 0.5% nationally, according to property analyst Hometrack.
But in a sign that prices could be starting to run ahead of what buyers are willing to pay, the typical percentage of the asking price achieved dipped in November to 95%, from a six-year high of 95.2% recorded in October.
Widened mortgage availability is said to be fuelling demand from aspiring property buyers, but experts say that a lack of houses to choose from is pushing prices up.
Hometrack said that while the number of new buyers registering with estate agents was up 10.2% over the last six months, the supply of homes for sale has dropped 0.6% over the same period.
House prices have continued to rise at their fastest pace in three years as more would-be buyers flock into the market, Halifax reported.
A 6.2% annual rise in September takes average house values to £170,733 and represents the biggest year-on-year increase since 2010, the lender said.
The latest increase follows a 5.4% annual rise in August, which like September's increase was the strongest rate since June 2010.
On a month-on-month basis, prices rose by 0.3%, equalling the increase in August and marking the eighth month of rises in a row.
Fears have been growing that some stronger than expected price rises this year could be leading to a bubble, with borrowers over-stretching themselves. The Government has brought forward the launch of the new phase of its flagship Help to Buy scheme from January to next week.
House prices in Yorkshire and Northern Lincolnshire fell 0.1% in December, while prices across the country will edge down 1% during 2013 as the London market shows signs of cooling, property analysts have said.
Prices fell 0.1% month-on-month in December, marking the sixth month in a row that this has happened, and average prices ended the year 0.3% lower than a year ago, Hometrack said.
It predicts that a reluctance by struggling families to take on more debt will continue to act as a drag on the housing market next year and prices will be more volatile with continued low sales.