The country singer revealed she and her Northern Lights co-star would be staying in, eating pizza and playing video games with his two children.
Speaking at the MusiCares Person of the Year Dinner honouring Barbra Streisand at the Los Angeles Convention Centre, LeAnn said: "We actually are going to be with his children, so probably Wii and pizza - it should be fun."
The 28-year-old star claimed she and Eddie were both so busy that the key to a romantic date night for them was any chance they had to grab a drink alone together.
She laughed: "Date night activity, honestly, we juggle so much between both of our jobs and children and everything, to be at home and us and maybe have like a glass of tequila and that's it - that's date night."
Asked about her wedding plans, LeAnn - whose engagement was revealed just after Christmas - said: "We've started, but we're not quite sure where it's going to end."