B757 captain reported being informed by the tower that right engine was smoking during takeoff.

Attributes
ACN	1609764
Time
Date	201901
Local Time Of Day	0601-1200
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Flight Conditions	VMC
Aircraft 1
Make Model Name	B757 Undifferentiated or Other Model
Operating Under FAR Part	Part 121
Flight Phase	Climb
Flight Plan	IFR
Component
Aircraft Component	Oil Storage
Person 1
Function	Captain Pilot Flying
Qualification	Flight Crew Air Transport Pilot (ATP) Flight Crew Instrument Flight Crew Multiengine
Experience	Flight Crew Last 90 Days 162 Flight Crew Total 13500 Flight Crew Type 1191
Events
Anomaly	Aircraft Equipment Problem Less Severe Deviation - Procedural Published Material / Policy Flight Deck / Cabin / Aircraft Event Smoke / Fire / Fumes / Odor

Narrative:

After a normal takeoff the tower advised us that our right engine was smoking. All our indications were normal. We got a clearance to level off at 5000 feet and began circling. Initially my plan was to return but since we were 20;000 lbs above our maximum landing weight and (no dump capability) I changed my mind.after having a flight attendant look out the window and confirm no smoke; we then were able to get ATC to route [another aircraft] over the top of us twice to visually inspect the engine. (Again; no smoke) I tried relentlessly to get a phone patch with dispatch and neither satcom nor VHF would work. Eventually via ACARS I had them call us and we talked. We climbed to 36;000 feet at max continuous thrust and no abnormal engine indications or smoke were observed. We flew to [our destination] and landed uneventfully.mechanics said it was probably overfilled with oil and I tend to agree since it ran six hours and never came off 21 quarts.

Original NASA ASRS Text

Title: B757 Captain reported being informed by the tower that right engine was smoking during takeoff.

Narrative: After a normal takeoff the tower advised us that our right engine was smoking. All our indications were normal. We got a clearance to level off at 5000 feet and began circling. Initially my plan was to return but since we were 20;000 lbs above our maximum landing weight and (no dump capability) I changed my mind.After having a Flight Attendant look out the window and confirm no smoke; we then were able to get ATC to route [another aircraft] over the top of us twice to visually inspect the engine. (again; no smoke) I tried relentlessly to get a phone patch with dispatch and neither SatCom nor VHF would work. Eventually via ACARS I had them call us and we talked. We climbed to 36;000 feet at max continuous thrust and no abnormal engine indications or smoke were observed. We flew to [our destination] and landed uneventfully.Mechanics said it was probably overfilled with oil and I tend to agree since it ran six hours and never came off 21 quarts.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.