CAIRO/DUBAI (Reuters) - Egypt’s housing ministry and Dubai's Arabtec (>> Arabtec Holding PJSC) have agreed some of the terms for a $40 billion project to build one million homes across the country, and they will sign a final contract within 10 days, a ministry spokeswoman said on Tuesday.

Earlier this month, the housing minister said he hoped to conclude a deal for the mega development - seen as part of economic and political support to the country by the United Arab Emirates - before a March 13-15 investment conference.

No announcement was made, however. The two parties differed over the percentage of completed units that Arabtec should deliver to Egypt in lieu of payment for land used in the project, a source told Reuters on March 3.

“There is no percentage that has been agreed on with Arabtec,” Wafaa Bakri, media advisor for the housing minister, told Reuters on Tuesday.

Asked if the government would take the same percentage agreed with Talaat Mostafa (>> Talaat Mostafa Group Holding Co SAE) for the Egyptian developer's Madinaty housing project, which was 7 percent, she said: "It will be more than that."

Arabtec executives will visit Cairo within 10 days to sign the final contract, she added without elaborating.

Such a short time frame may indicate the two sides are confident a deal is near, and a source familiar with the matter played down their differences. He said the main obstacles had been overcome and only a few relatively minor issues remained.

Under a preliminary plan announced last year, construction of the housing had originally been due to start in the third quarter of 2014, with the first homes to be delivered in early 2017 and the project to be completed before 2020.

(Additional reporting by Stephen Kalin in Cairo; Editing by Andrew Torchia)

By Ehab Farouk and Matt Smith