Ottawa argues it needs the stay while it appeals the decision handed down last month.
In his ruling, an Ontario Superior Court justice struck down parts of the Canada Elections Act that disenfranchised Canadian citizens living abroad for more than five years.
The judge found the provisions were unreasonable and violated their constitutional rights.
However, the government maintains long-term expatriates do not have a "direct and meaningful" connection to Canada.
If the stay is granted, it will stop those hoping to vote in this month's federal byelections from doing so.