Different methods such as distillation, extraction,... are acceptable. It should be mentioned that the boiling point of ethyl acetate equals to 77.1 degree centigrade and the boiling point of lube oil equals to 186 degree centigrade.
The simplest way might be to put your mixture on a rotovap. At 40 Torr, boiling point of ethyl acetate is ca. 10 oC, so you would not even need to warm mixture up. Under mentioned pressure, boiling point of your lube should be high enough so you would be safe from loosing it. If rotovap is not available to you, you could go with simple distillation (difference in boiling points is large enough so you would not need to do fraction distillation). Do not heat your glassware directly, but use appropriate bath (water bath should work good enough for removal of solvent).