Remodularising technical institution in Nigeria is an inevitable task, this is necessary in the view of the fact that training and skill acquisition in terms of strategy and procedure is a key factor to producing high skill labour in construction sector. The phenomenon of unavailability of highly skilled labour, however, is gradually taken its toll on construction products delivery in Nigerian construction sector. This is evident in poor work output being discovered in sites. The unavailability of highly skilled artisans has affected the quality of work delivery and workmanship which calls to question the robustness of their skill training modules. This has led to artisans and skill labor performing below expectation in their job delivery particularly in jobs outside their area of specialization which is unhealthy for the progress of the sector. The study therefore presents strategies and procedure to mitigate this trend in order to enhance quality of work delivery. One hundred and fifty (100) questionnaires were administered on selected technical-based training institution in Lagos State (Nigeria) to examine their training modules and framework. Some of the reasons adduced as responsible for this trend includes: poor apprenticeship program modules, poor recruitment strategy, poor motivation, non-participation of employers in recruitment and personnel selection, government policy among others. It was discovered that in order to mitigate the menace, strategy to be applied includes: adequate funding, education policy reform, value re-orientation and good incentive scheme among others. Implementing the suggested strategy is considered a panacea to solving the skill shortage problem in Nigerian construction sector.